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Centralizers of certain quadratic elements in Poisson-Lie algebras and the method of translation of invariants

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Publication:3372458
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DOI10.1070/RM2005v060n02ABEH000840zbMath1142.17306MaRDI QIDQ3372458

Leonid Rybnikov

Publication date: 21 February 2006

Published in: Russian Mathematical Surveys (Search for Journal in Brave)



Mathematics Subject Classification ID

Poisson algebras (17B63)


Related Items

Algebraic geometry and stability for integrable systems ⋮ Gaudin models with irregular singularities ⋮ Shift of argument algebras and de Concini–Procesi spaces ⋮ The maximality of certain commutative subalgebras in Yangians ⋮ The argument shift method in universal enveloping algebra \(U \mathfrak{gl}_d\) ⋮ Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces ⋮ Crystals and monodromy of Bethe vectors ⋮ Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\) ⋮ Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D ⋮ Uniqueness of higher Gaudin Hamiltonians ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras



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